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Finding the Fourth Proportional to 372.41, 514.11 and 289.32

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Solution

The fourth proportional to 372.41, 514.11 and 289.32 is: 399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.41 : 514.11 = 289.32 : x
  2. Step 2: Convert to fraction form
    372.41/514.11 = 289.32/x
  3. Step 3: Cross multiply
    372.41x = 514.11 × 289.32
  4. Step 4: Simplify right side
    372.41x = 148,742.31
  5. Step 5: Solve for x
    x = 148,742.31/372.41
  6. Step 6: Final answer
    x = 399.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.